Fai clic su di un'immagine per andare a Google Ricerca Libri.
Sto caricando le informazioni... Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich)di V. G. Turaev
Nessuno Sto caricando le informazioni...
Iscriviti per consentire a LibraryThing di scoprire se ti piacerà questo libro. Attualmente non vi sono conversazioni su questo libro. Nessuna recensione nessuna recensione | aggiungi una recensione
This book is an extended version of the notes of my lecture course given at ETH in spring 1999. The course was intended as an introduction to combinatorial torsions and their relations to the famous Seiberg-Witten invariants. Torsions were introduced originally in the 3-dimensional setting by K. Rei- demeister (1935) who used them to give a homeomorphism classification of 3-dimensional lens spaces. The Reidemeister torsions are defined using simple linear algebra and standard notions of combinatorial topology: triangulations (or, more generally, CW-decompositions), coverings, cellular chain complexes, etc. The Reidemeister torsions were generalized to arbitrary dimensions by W. Franz (1935) and later studied by many authors. In 1962, J. Milnor observed 3 that the classical Alexander polynomial of a link in the 3-sphere 8 can be interpreted as a torsion of the link exterior. Milnor's arguments work for an arbitrary compact 3-manifold M whose boundary is non-void and consists of tori: The Alexander polynomial of M and the Milnor torsion of M essentially coincide. Non sono state trovate descrizioni di biblioteche |
Discussioni correntiNessunoCopertine popolariNessuno
Google Books — Sto caricando le informazioni... GeneriSistema Decimale Melvil (DDC)516.07Natural sciences and mathematics Mathematics Geometry GeometryClassificazione LCVotoMedia: Nessun voto.Sei tu?Diventa un autore di LibraryThing. |